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NNADVOKAT [17]
2 years ago
15

The sum of one–half a number and two-thirds the number is equal to twenty-five less than twice the number.

Mathematics
1 answer:
Savatey [412]2 years ago
4 0

Answer: \frac{1}{2}x + \frac{2}{3}x = 2x - 25

Step-by-step explanation:

First, let's analyze the phrase "the sum of one-half and two-thirds the number". This would translate to:

\frac{1}{2}x + \frac{2}{3}x

Then it says the last part of the expression is "twenty five less than twice the number"

2x - 25

Then, equal the two parts of the equation to each other.

\frac{1}{2}x + \frac{2}{3}x = 2x - 25

Hope this helps! :)

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frosja888 [35]

Answer:

2 Height ft and 6.75 length ft

Step-by-step explanation:

You just decrease it to 1:16

so, 34:108 is 2:6.75 to be about the same size as 1:16

3 0
3 years ago
X+y=3<br> y+x= 5<br><br> help please
Oksana_A [137]
Solve by elimination ie eliminate x or y from the equations by performing operations on them.
first label the equations , to follow the process.
x - y = 5 ----------------(1)
x+ y = 3 ----------------(2)
If (1) and (2) are added then y will be eliminated.
(1) + (2) gives : 2x = 8 → x = 4
now substitute this value of x into either of the 2 equations and solve for y.
let x = 4 in (1) : 4 - y = 5 → -y = 1 → y = -1
check in (1) : 4-(-1) = 4+1 = 5
check in(2) : 4 - 1 = 3


So your answer is x = 4 , y = -1
8 0
3 years ago
Given the function defined in the table below, find the average rate of
AURORKA [14]

Answer:

Average rate of change = \frac{2}{5}

Step-by-step explanation:

Average rate of change of a function 'f' in the interval a ≤ x ≤ b is given by,

Average rate of change = \frac{f(b)-f(a)}{b-a}

We have to find the average rate of change in the interval 20 ≤ x ≤ 65

From the table attached,

f(65) = 32

f(20) = 14

Average rate of change = \frac{32-14}{65-20}

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                                        = \frac{2}{5}

Therefore, average rate of change in the given interval is \frac{2}{5} .

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3 years ago
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Answer:

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Step-by-step explanation:

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